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Finding the Fourth Proportional to 961.54, 1,442.98 and 523.68

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Solution

The fourth proportional to 961.54, 1,442.98 and 523.68 is: 785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.54 : 1,442.98 = 523.68 : x
  2. Step 2: Convert to fraction form
    961.54/1,442.98 = 523.68/x
  3. Step 3: Cross multiply
    961.54x = 1,442.98 × 523.68
  4. Step 4: Simplify right side
    961.54x = 755,655.01
  5. Step 5: Solve for x
    x = 755,655.01/961.54
  6. Step 6: Final answer
    x = 785.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.